1.(x+2y-z)(c-2y-z)-(x+y-z)的平方等于多少?2.已知x=3分之4,则代数式x平方分之1-x分之2+1等于多少?3.若a+b=7,ab=12,则a平方-ab+b平方的值为多少?4.已知3乘以x的平方-x-3=0,则x的平方+x平方分之1等

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1.(x+2y-z)(c-2y-z)-(x+y-z)的平方等于多少?2.已知x=3分之4,则代数式x平方分之1-x分之2+1等于多少?3.若a+b=7,ab=12,则a平方-ab+b平方的值为多少?4.已知3乘以x的平方-x-3=0,则x的平方+x平方分之1等

1.(x+2y-z)(c-2y-z)-(x+y-z)的平方等于多少?2.已知x=3分之4,则代数式x平方分之1-x分之2+1等于多少?3.若a+b=7,ab=12,则a平方-ab+b平方的值为多少?4.已知3乘以x的平方-x-3=0,则x的平方+x平方分之1等
1.(x+2y-z)(c-2y-z)-(x+y-z)的平方等于多少?2.已知x=3分之4,则代数式x平方分之1-x分之2+1等于多少?
3.若a+b=7,ab=12,则a平方-ab+b平方的值为多少?
4.已知3乘以x的平方-x-3=0,则x的平方+x平方分之1等于多少?
5.当x取任意实数时,代数式x平方-4x+5的值为多少?
6.已知x,y满足(x+2y)(x-2y)=-5(y平方-5分之6),2乘以x乘以(y-1)+4(2分之1x-1)=0,求下列各式的值:(1).(x-y)平方,(2)x四次方+y四次方-x平方y平方
就这六道题,越快越好,不一定全部作出来,请标明题号!

1.(x+2y-z)(c-2y-z)-(x+y-z)的平方等于多少?2.已知x=3分之4,则代数式x平方分之1-x分之2+1等于多少?3.若a+b=7,ab=12,则a平方-ab+b平方的值为多少?4.已知3乘以x的平方-x-3=0,则x的平方+x平方分之1等
1、原式=(x-z)^2-(2y)^2-(x-z+y)^2
=(2x-2z+y)(-y)-4y^2
=-2xy+2yz-y^2-4y^2
=-2xy+2yz-5y^2
2、x=4/3 1/x=3/4
1/x^2-2/x+1=9/16-3/2+1=1/16
3、a+b=7
(a+b)^2=a^2+2ab+b^2=49
a^2-ab+b^2=49-3ab=49-3*12=13
4、3x^2-x-3=0 3x-1-3/x=0
3(x-1/x)=1 x-1/x=1/3
(x-1/x)^2=x^2-2+1/x^2=1/9
x^2+1/x^2=1/9+2=19/9
5、设x^2-4x+5=y
则x^2-4x+5-y=0
△=16-20+4y≥0
∴y≥1
即代数式x平方-4x+5的值≥1,最小值为1
6、由(x+2y)(x-2y)=-5(y平方-5分之6)
得x^2+y^2=25/6
由2乘以x乘以(y-1)+4(2分之1x-1)=0
得xy=2
(1)(x-y)^2=x^2-2xy+y^2=25/6-2*2=1/6
(2)x^4+y^4-x^2y^2=(x^2+y^2)^2-3x^2y^2
=(25/6)^2-3*2^2
=625/36-12
=193/36

原式=(x-z)^2-(2y)^2-(x-z+y)^2
=(2x-2z+y)(-y)-4y^2
=-2xy+2yz-y^2-4y^2
=-2xy+2yz-5y^2
、x=4/3 1/x=3/4
(a+b)^2=a^2+2ab+b^2=49
a^2-ab+b^2=49-3ab=49-3*12=13
4、3x^2-x-3=0 3x-1-3/...

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原式=(x-z)^2-(2y)^2-(x-z+y)^2
=(2x-2z+y)(-y)-4y^2
=-2xy+2yz-y^2-4y^2
=-2xy+2yz-5y^2
、x=4/3 1/x=3/4
(a+b)^2=a^2+2ab+b^2=49
a^2-ab+b^2=49-3ab=49-3*12=13
4、3x^2-x-3=0 3x-1-3/x=0
3(x-1/x)=1 x-1/x=1/3
(x-1/x)^2=x^2-2+1/x^2=1/9
x^2+1/x^2=1/9+2=19/9
5、设x^2-4x+5=y
则x^2-4x+5-y=0
△=16-20+4y≥0
∴y≥1
即代数式x平方-4x+5的值≥1,最小值为1
6、由(x+2y)(x-2y)=-5(y平方-5分之6)
得x^2+y^2=25/6
由2乘以x乘以(y-1)+4(2分之1x-1)=0
得xy=2
(1)(x-y)^2=x^2-2xy+y^2=25/6-2*2=1/6
(2)x^4+y^4-x^2y^2=(x^2+y^2)^2-3x^2y^2
=(25/6)^2-3*2^2
=625/36-12
=193/36

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